Elliptic curve data - 14415.d4

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  intrinsic_torsion	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '14415g', 'Clabel': '14415g3', 'Cnumber': 3, 'abc_quality': 1.030187200332639, 'absD': 13312555215, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 14880, 'ainvs': [1, 0, 0, -76900, -8214415], 'analytic_rank': 0, 'bad_primes': [3, 5, 31], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 14415, 'degree': 30720, 'elladic_images': ['32.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3147160301597293355209856651', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [56667352321, 15], 'lmfdb_iso': '14415.d', 'lmfdb_label': '14415.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -80, 242], 'min_quad_twist_disc': -31, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.g.1', '24.24.0.by.2', '32.48.0.e.1', '40.24.0.cb.2', '48.48.0.bs.1', '60.12.0.h.1', '80.96.2.?', '96.96.1.?', '120.48.0.?', '124.12.0.?', '160.192.5.?', '240.192.5.?', '248.24.0.?', '480.384.13.?', '496.48.0.?', '744.48.0.?', '992.96.0.?', '1240.48.0.?', '1488.96.0.?', '1860.24.0.?', '2480.192.2.?', '2976.192.1.?', '3720.96.0.?', '4960.384.5.?', '7440.384.5.?', '14880.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 4, 4805], [5, 6, 2883], [31, 482, 15]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649717', 'prec': 107}, 'szpiro_ratio': 4.737288087609158, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, -1, 1, -1, 1, -1, 0, 3, 1, -1, 4, -1, 2, 0, 1, -1, -2, -1, 4, -1], 'aplist': [-1, 1, 1, 0, 4, 2, -2, 4, 0, 2, 0, 10, 10, -4, 8, 10, -4, 2, 12, -8, -10, 0, -12, 6, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 14415, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '14415.d', 'trace_hash': 1112466387430802386}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.072119410084436422637636863939', 'prec': 107}, 'conductor': 14415, 'gens': [], 'heights': [], 'lmfdb_label': '14415.d4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28669356641386928815125078469', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2935485313109543052100062775159332874', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[-641, 641, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [16, 1], '3': [1, 0], '5': [1, 0], '31': 'a'}, 'iwp0': 3, 'lmfdb_label': '14415.d4'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 742973
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '14415.d4', 'torsion': [2, 2]}
  • id: 742975
    {'degree': 2, 'field': [8, -1, 1], 'lmfdb_label': '14415.d4', 'torsion': [4]}
  • id: 742974
    {'degree': 2, 'field': [465, 0, 1], 'lmfdb_label': '14415.d4', 'torsion': [4]}
  • id: 742978
    {'degree': 4, 'field': [81, 0, 13, 0, 1], 'lmfdb_label': '14415.d4', 'torsion': [8]}
  • id: 742977
    {'degree': 4, 'field': [118, -10, 11, -2, 1], 'lmfdb_label': '14415.d4', 'torsion': [8]}
  • id: 742976
    {'degree': 4, 'field': [514, 14, -13, -2, 1], 'lmfdb_label': '14415.d4', 'torsion': [2, 4]}
  • id: 742984
    {'degree': 8, 'field': [-10845, 765, -4875, 168, -219, -19, -3, 0, 1], 'lmfdb_label': '14415.d4', 'torsion': [6]}
  • id: 742979
    {'degree': 8, 'field': [-6974, 7380, -1006, -480, 531, -60, -46, 0, 1], 'lmfdb_label': '14415.d4', 'torsion': [2, 4]}
  • id: 742983
    {'degree': 8, 'field': [9145, -465, 2575, -250, 341, -38, 24, -2, 1], 'lmfdb_label': '14415.d4', 'torsion': [16]}
  • id: 742982
    {'degree': 8, 'field': [11381, -2498, 2832, -690, 401, -70, 28, -4, 1], 'lmfdb_label': '14415.d4', 'torsion': [16]}
  • id: 742981
    {'degree': 8, 'field': [16641, 0, 3666, 0, 307, 0, 14, 0, 1], 'lmfdb_label': '14415.d4', 'torsion': [2, 8]}
  • id: 742980
    {'degree': 8, 'field': [73441, 0, -42424, 0, 9006, 0, -184, 0, 1], 'lmfdb_label': '14415.d4', 'torsion': [8]}
  • id: 742987
    {'degree': 16, 'field': [828577, -2134420, 4100498, -4908276, 5271344, -4486076, 3491050, -2026836, 923953, -312996, 98710, -21340, 4952, -672, 116, -8, 1], 'lmfdb_label': '14415.d4', 'torsion': [16]}
  • id: 742985
    {'degree': 16, 'field': [8213956, 0, -9927240, 0, 11815216, 0, -2395980, 0, 321141, 0, -25920, 0, 1546, 0, -60, 0, 1], 'lmfdb_label': '14415.d4', 'torsion': [4, 4]}
  • id: 742992
    {'degree': 16, 'field': [13068225, 0, 13113000, 0, 6062400, 0, 1581961, 0, 254072, 0, 26071, 0, 1681, 0, 62, 0, 1], 'lmfdb_label': '14415.d4', 'torsion': [12]}
  • id: 742988
    {'degree': 16, 'field': [70252561, -42435350, 54565783, -26407956, 18830897, -7500066, 3813656, -1264838, 499275, -137198, 43328, -9618, 2422, -406, 78, -8, 1], 'lmfdb_label': '14415.d4', 'torsion': [2, 16]}
  • id: 742986
    {'degree': 16, 'field': [157660576, 93126464, -66706912, -50518272, 19543706, 6590164, -1670270, -615996, 374449, -170052, 58030, -14308, 3416, -504, 92, -8, 1], 'lmfdb_label': '14415.d4', 'torsion': [2, 8]}
  • id: 742989
    {'degree': 16, 'field': [246270301, -97844146, 118940603, -45017832, 29838191, -9560486, 4516780, -1251606, 459169, -108222, 32860, -6778, 1706, -294, 62, -8, 1], 'lmfdb_label': '14415.d4', 'torsion': [32]}
  • id: 742990
    {'degree': 16, 'field': [1113739065, -32121900, -54871875, -69339330, -7579950, 9808110, 3127419, 459546, -310173, -47496, -22190, 1860, 156, -38, -36, 0, 1], 'lmfdb_label': '14415.d4', 'torsion': [2, 6]}
  • id: 742991
    {'degree': 16, 'field': [1137454485, -29841120, 100228260, -233048700, -19232085, 2543490, 8476129, 1587906, 75422, -74096, -18200, 950, 511, -8, -16, 0, 1], 'lmfdb_label': '14415.d4', 'torsion': [12]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 316877
    {'conductor': 14415, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '14415.d4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 316878
    {'conductor': 14415, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '14415.d4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 316879
    {'conductor': 14415, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '14415.d4', 'prime': 31, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1759915
    {'adelic_gens': [[11223, 1922, 14074, 12463], [1, 0, 32, 1], [1, 32, 0, 1], [5, 28, 68, 381], [8402, 3379, 14415, 9518], [1919, 0, 0, 14879], [23, 18, 12318, 12875], [12990, 31, 13609, 12804], [14849, 32, 14848, 33], [11254, 2883, 8525, 3628]], 'adelic_image': '14880.768.13.?', 'conductor': 14415, 'lmfdb_label': '14415.d4', 'prime': 0}
  • id: 68364
    {'conductor': 14415, 'elladic_image': '32.48.0.1', 'lmfdb_label': '14415.d4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 14415.d does not appear in ec_padic